The generalized Wright's model and population structure with special reference to the ABO blood group system

Abstract

For any k allelic autosomal system, a new model involving exactly (k-1) (k+2)/2 independent parameters is proposed and called the generalized Wright's model. The (k-1) (k+2)/2-(k-1) additional parameters, apart from k-1 gene frequencies, are introduced as certain F statisitcs analogous to the so called inbreeding coefficient F. Problems of testing the equality, detection, and estimation of the F statistics are briefly discussed. A composite F statistic, as a function of the various F statistics, is introduced, and the effects of population subdivision on the composite F statistic are studied. The methodology is illustrated using data on the ABO blood group system.

title = "The generalized Wright's model and population structure with special reference to the ABO blood group system",

abstract = "For any k allelic autosomal system, a new model involving exactly (k-1) (k+2)/2 independent parameters is proposed and called the generalized Wright's model. The (k-1) (k+2)/2-(k-1) additional parameters, apart from k-1 gene frequencies, are introduced as certain F statisitcs analogous to the so called inbreeding coefficient F. Problems of testing the equality, detection, and estimation of the F statistics are briefly discussed. A composite F statistic, as a function of the various F statistics, is introduced, and the effects of population subdivision on the composite F statistic are studied. The methodology is illustrated using data on the ABO blood group system.",

T1 - The generalized Wright's model and population structure with special reference to the ABO blood group system

AU - Rao, D. C.

AU - Chakraborty, Ranajit

PY - 1974/12/1

Y1 - 1974/12/1

N2 - For any k allelic autosomal system, a new model involving exactly (k-1) (k+2)/2 independent parameters is proposed and called the generalized Wright's model. The (k-1) (k+2)/2-(k-1) additional parameters, apart from k-1 gene frequencies, are introduced as certain F statisitcs analogous to the so called inbreeding coefficient F. Problems of testing the equality, detection, and estimation of the F statistics are briefly discussed. A composite F statistic, as a function of the various F statistics, is introduced, and the effects of population subdivision on the composite F statistic are studied. The methodology is illustrated using data on the ABO blood group system.

AB - For any k allelic autosomal system, a new model involving exactly (k-1) (k+2)/2 independent parameters is proposed and called the generalized Wright's model. The (k-1) (k+2)/2-(k-1) additional parameters, apart from k-1 gene frequencies, are introduced as certain F statisitcs analogous to the so called inbreeding coefficient F. Problems of testing the equality, detection, and estimation of the F statistics are briefly discussed. A composite F statistic, as a function of the various F statistics, is introduced, and the effects of population subdivision on the composite F statistic are studied. The methodology is illustrated using data on the ABO blood group system.